AABC and ADEF are similar. Find the missing side length.

Answer:

Part 1:

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

Part 2: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex]

Step-by-step explanation:

This question has to be done visually, and can is a little tricky, because depending on the way the graph intercepts the x-axis, there is going to be a different number of roots.

The roots are represented by the intersection of the function with the x-axis.

To start, take a look at the point [tex](-5,0)\\[/tex], which intercepts the x-axis like a parabola(quadratic function). This means that -5 is a "double root" of the function, or it represents two roots of the function.

Now look at the point [tex](-1,0)\\[/tex], which intercepts the x-axis in a linear way, meaning that -1 is simply a "single-root" of the function, or it only represents one root.

So for the next root, look at [tex](4,0)[/tex], which intercepts the x-axis like a cubic function. This means that 4 is is a "triple-root" of the function, and represents 3 roots of the function.

And finally, we have one final interception at [tex](7,0)\\[/tex], and the interception is in a linear form, meaning 7 is simply a "single-root" to the function, or it only represents one root.

So we can conclude that the following are roots with their respective multiplicities

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

And totally, 2+1+3+1 gives us 7, which supports our answer because we know this is a seventh-degree polynomial.(1)

Now for Part 2

We simply take each root, and subtract it from x in our function, then apply our multiplicity as the exponent

So the function would be: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex](2)

Hope this helps.

Answer:

the answer is 908. You need to compare the sides.

16 in x 20 in= 320 in

42in x 14 in = 588

all together it's 908

Answer:

I think the answer is 1108

Step-by-step explanation:

Area1 = 26in × 20in =520^2

Area2 = 42in × 14in =588in^2

total area = 1108in^2

Answer:

0.61

Step-by-step explanation:

(5/10)^2+(3/5)^2

(25/100)+(9/25)

25/100 + 9*4/25*4

25/100 + 36/100

61/100

0.61

[tex]2sin(\theta )+\sqrt{3}=0\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}\left[ sin(\theta ) \right]=sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right) \implies \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta \begin{cases} \stackrel{III~Quadrant}{\frac{4\pi }{3}}\\\\ \stackrel{IV~Quadrant}{\frac{5\pi }{3}} \end{cases}[/tex]

check your Unit Circle.

1. Observe Problem

It can be flipped on the x axis and y axis

so, Flipped on the x axis, it becomes:

So, flipped on the y axis, it becomes:

Which is the same thing

A is the center of the dilation because it is being delarged(is that even a word) by a factor of 2 downwards, and the only place possible to be the center of this "delargation" is A

Answer:

30

Step-by-step explanation:

Substitute for x and y

2 x 3 x 5 = 6 x 5 = 30

I hope this helped and please mark mark me as brainliest!

[tex]1. \: \: 10 {x}^{2} y - 5 {x}^{2} y = 5 {x}^{2} y \\ 2. \: \: - 3 x - (5x) - ( - 2x) \\ \: \: - 3x - 5x + 2x = \\ \: \: - 8x + 2x = - 6x[/tex]

Hope this helps :)

Answer:

(a)

(b)

add similar elements together; simplify.

Answer:

Second Option

Step-by-step explanation:

The argument of the log must be greater than zero so

[tex]5 - x > 0[/tex]

[tex] -x > - 5[/tex]

[tex]x < 5[/tex]

So our domain is All Reals less than 5.

The range of log function is all reals so the answer is -oo, oo).

So the second option is the answer.

Answer:

Step-by-step explanation:

What does $1$2 mean?

well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}[/tex]

[tex]A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}[/tex]

Answer:

A quarter of 31.06 is 7.65

A half of 31.06 is 15.53

Step-by-step explanation:

The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

Undefined Terms refers to those terms which usually do not require any formal definition.

1. Money can't buy happiness. undefined term

2. Things that coincide with one another are equal to one another. Postulates

3. Collinear points are points on the same line. Postulates

4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem

5. Margie supports her answer with a statement that includes ideas about planes. undefined term

6. O is a natural number. defined term

7. In his two-column proof, he was able to prove that the statement is true. defined term

8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term

9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate

10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. ​ postulate

Learn more about Undefined Terms here:-

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Answer:

Step-by-step explanation:

The graph is showing the interval between - 3 and - 1, the first point has open circle but the second one has closed circle.

The solution is:

Correct choice is C

The statements that describe the given inequality are as follows:

The inequality is given by:

[tex]10x + 75 \geq 350[/tex]

It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.

Hence, the 2nd and the 3rd options are correct.

More can be learned about inequalities at https://brainly.com/question/25235995

Answer:

7 9/14

Step-by-step explanation:

1/2=7/14

1/7=2/14

7/14+2/14=9/14

5+2=7

Answer:

7.64285714286

Step-by-step explanation:

You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.

Answer

5/5 x 8 =

Step-by-step explanation:

a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by

Answer: C

Step-by-step explanation:

We can use the 3D pythagorean theorem.

This gives us sqrt(3^2 + 4^2 + 6^2) = sqrt(61), which is about 7.8

As to how he got B, I don't know.

Answer:

PQR = 40

QNP = 60

Step-by-step explanation:

PQR = 180 - (60 + 80)

QNP = 180 - (40 + 80)

[tex]-\frac{1}{4}+\frac{3}{4}a=-\left(-\frac{7}{4}a-1 \right)[/tex]

Multiplying both sides by 4,

[tex]-1+3a=-(-7a-4)\\\\-1+3a=7a+4\\\\-1=4a+4\\\\-5=4a\\ \\ a=\boxed{-1.25}[/tex]

Answer:

it's 200

Step-by-step explanation:

that's it's thats the anwrt

Answer:

200

Step-by-step explanation:

[tex]300 - 100[/tex]

[tex]subtract ~the~ hundreds~ digit, 3 ~minus ~1, ~which ~ is ~ 2[/tex][tex]subtract ~the~ tens~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]

[tex]subtract ~the~ units~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]

[tex]put~it~back~into~its~place~value[/tex]

[tex]300~minus~100~is~ 2 ~0~ 0, 200[/tex]

Answer d=t*v

Step-by-step explanation: the distance is the time spent times 60 miles per hour.

Answer:

the x -intercept is

Step-by-step explanation:

-x+8y=4

Answer:

1 1/2

Step-by-step explanation:

To solve this problem, we need to find how many miles Terry walks in one day. Then, we can multiply by 3 to find how far she walks in three days.

One day |

We need to add how much she walks in both the morning and afternoon. 1/4 + 2/4 = 3/4 miles.

Three days |

Now that we know how much Terry walks in one day, we need to find how much she walks in three days. Multiple by 3 to solve this.

3/4 * 3 = 6/4 = 3/2

You can write 3/2 as an improper fraction: 1 1/2.

---------------------------

I hope this was helpful! Have a good day!

Answer:

15% per second

Step-by-step explanation:

If you subtract 9 from 17 you get 16 subtract one from that and you get 15.

Answer:

C

Step-by-step explanation:

7^-8 x 7^-4 = 7^(-8-4) = 7^(-12) = (1/7)^12 = 1/7^12

Geometry and Similarity both

The product of expressions is gotten by multiplying the expressions

The expression that give the same product as 5 * 3/7 is 3 * 5/7

The product expression is given as:

5 * 3/7

Evaluate the product

5 * 3/7 = 15/7

Express 15 as the product of 3 and 5.

So, we have:

5 * 3/7 = 3 * 5/7

Hence, the expression that give the same product as 5 * 3/7 is 3 * 5/7

Read more about product at:

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The value of x for the given circle will be going to be 50°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In another meaning, a circle is a geometrical figure whose shape is just like round wheel.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Angles of Intersecting Chords Theorem;

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

So angle x = (60° + 40°)/2  = 50° hence it will be correct answer.

To learn more about the circle,

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